(Originais Teachy 2023) - Question Medium of Physics

The dimensions of the basic primitive quantities are: length [L], mass [M], and time [T]. The dimensions of the derived quantities Force and Pressure are, in this order, equal to:

An airplane initially flies north at a speed of 200 km/h. Due to a wind blowing from east to west, the airplane ends up deviating to the northeast, following a trajectory that forms a 45-degree angle with the north direction and covering a distance of 300 km from the starting point. Determine, using vector concepts, the speed of the airplane relative to the ground, considering the effect of the wind. Consider that the wind speed is constant and equal to 50 km/h, and that the wind direction is perpendicular to the initial direction of the airplane.

A technician from an electronics company is working on a circuit involving three capacitors in series. The capacitors have capacitances of 6μF, 8μF, and 12μF, respectively. Assuming the potential difference applied to the capacitors is 60V, determine the charge stored in each capacitor and the equivalent capacitance of the series configuration.

The city of Salvador, famous for its hills and elevators, is a perfect example to demonstrate the force of traction. The Lacerda Elevator, one of the main postcards of the city, transports thousands of people daily between the Upper Town and the Lower Town. Suppose one day, a group of 15 people with an average mass of 70kg decide to use the elevator at the same time. Considering the elevator's mass as 500kg and the acceleration due to gravity equal to 10 m/s², what would be the traction force on the elevator cable when it is at rest or moving at a constant speed?